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2 years ago

In rectangle ABCD, find x and y.

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

8 0

Answer: x=5 y=6

Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.

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The answer is 4.

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The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6

victus00 [196]

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)

a = -3 f(a) = 10 ... x=-3, y=10

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3 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

$Average=2.5$

Therefore the average grade point is 2.5.

(b)

$\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}$

The relative frequency table is show below:

x f Relative frequency

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3 3 $\frac{3}{10}=0.3$

1 4 $\frac{4}{10}=0.4$

(c)

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$Average=0.3333$

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3 years ago

June has $1.95 in dimes and nickels. She has a total of 28 coins. how many of each type of coin does she have?

Dovator [93]

Answer:

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d + n = 28, put one variable by itself on a side, d = 28 - n

.10d + .05n = 1.95

Sub the first equation into the second

.10(28 - n) + .05n = 1.95

2.8 - .10n + .05n = 1.95

2.8 - .05n = 1.95

-.05n = -0.85

n = 17 nickels

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